Lecture Notes on General Relativity
1997/12/03 by Sean M. Carroll, Carroll, Sean M. · 5 voices · 19 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Relativity and Gravitational Theory #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.48550/arxiv.gr-qc/9712019
238 pages, numerous figures. Individual chapters, and potentially updated versions, can be found at http://itp.ucsb.edu/~carroll/notes/
arxiv created 1997/12/03 · arxiv updated 2009/11/30
Abstract
These notes represent approximately one semester's worth of lectures on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications: gravitational radiation, black holes, and cosmology.
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Discussions
- Lecture Notes on General Relativity (1997) [hn, 105 points, 17 comments]
- I am studying linearized gravity and the construction of the transverse–traceless (TT) gauge starting from the Lorenz gauge, pages 149/150 of Sean Carroll’s GR notes, linked below. After imposing the [stackexchange, 5 points]
- I've not used them but Sean Carroll also has lecture notes available online arxiv.org/abs/gr-qc/97... [bsky, 3 points, 1 comments]
- The point is that the Kruskal diagram is not missing one Cartesian spatial direction, but it is missing the entire angular $S^{2}$ of spherical symmetry. The Schwarzschild/Kruskal metric has the form [stackexchange, 2 points]
- From the perspective of general relativity, the absence of any energy condition would mean that any metric is a solution of the Einstein equations: Just compute the Einstein tensor for your favourite [stackexchange, 1 points]
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